Newton polygons of \(L\)-functions of polynomials \(x^d + a x^{d - 1}\) with \(p \equiv -1 \bmod d\)

DOI10.1016/j.ffa.2015.10.003zbMath1378.11099arXiv1511.00084OpenAlexW2126106707MaRDI QIDQ897338

Yi Ouyang, Shenxing Zhang

Publication date: 17 December 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00084

zbMATH Keywords

Newton polygon\(L\)-function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Polynomials over finite fields (11T06)

Related Items (6)

On the Newton polygons of twisted \(L\)-functions of binomials ⋮ Newton polygon of \(L\) function of \(x^d + \lambda x^{d -1} + \mu x \) ⋮ Exponential sums over finite fields ⋮ On exponential sums of \(x^d+\lambda x^e\) with \(p\equiv e\pmod d\) ⋮ On a conjecture of Wan about limiting Newton polygons ⋮ Newton polygon of exponential sums in two variables with triangular base

Cites Work

• Newton slopes for Artin-Schreier-Witt towers
• Generic \(A\)-family of exponential sums
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Newton polygons of \(L\) functions of polynomials \(x^{d}+ax\)
• \(T\)-adic exponential sums over finite fields
• Newton polyhedra and the degree of the L-function associated to an exponential sum
• Newton polygons of \(L\)-functions of polynomials of the form \(X^{d}+\lambda X\).
• The \(L\)-functions of Witt coverings

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